Math Answers

The principal of tala senior highschool claims that the students in his school have above average intellegence. A random sample of 30 students IQ scores have a mean score of 113. The mean population IQ is 100 with a standard deviation of 15. Is there an evidence to support his claim?

A normally distributed data has a mean of 200 and a standard deviation of 20.What are the two extreme scores, outside of which only 5% of the distribution are expected to fall?

How could you use the base ten blocks to help learners learn the basics of place value? Provide an example to illustrate your answer

Let A ={ z E C : Im (z+2/z-2)≥ 1}.

(a) Sketch the set A in the complex plane.

(b) Is z = −2i a boundary point of A? Provide reasons for your answer.

(c) Is this set open, closed, both or neither? Provide reasons for your answer.

A deck (52) of cards (clubs, diamonds, hearts and spades) is shuffled once. Estimate the probability of drawing a king and queen. Estimate the probability of drawing a 4 (four). Estimate the probability of drawing a card that is not a heart.

A survey of 1000 men ages 20 to 30 found that their heights were normally distributed, with a mean of 65 inches and a standard deviation of 2.5 inches. How many men have a height that is between 60 inches and 70 inches?

B. Sketch the normal curve and indicate the location of the rejection region.

1. z > 1.645
2. z < -2.33
3. z < -2.58 or z > 2.58

ACTIVITY 7. EXPLORING MORE ELEMENTS OF HYPOTHESIS TESTING

A. Complete the table showing the rejection regions for common values of 𝜶.

Alternative Hypothesis

𝜶 Left-Tailed Right-Tailed Two-Tailed 𝛼 = .10 1. ___________ z > 1.28 z < -1.645 or z > 1.645

𝛼 = .05 z < -1.645 2. _________ z < -1.96 or z > 1.96

𝛼 = 0.25 3. ___________ z > 1.96 4. _______________

𝛼 = .01 z < -2.33 5.__________ z < -2.58 or z > 2.58

B. State the null hypothesis and the alternative hypothesis in (a) words and in (b) symbols for each of the following:

1. The average age of Youtube users is 25.

(a) In words = Ho: __________ Ha: __________

(b) In symbols = Ho: __________ Ha: __________

2. The mean age of the grade 10 students enrolled in Marawi High School is 16 years old. (a) In words = Ho: __________ Ha: __________

(b) In symbols = Ho: __________ Ha: __________

3. A doctor wants to know if the average recovery time of a patient taking a particular medication is one month.

In words,

Ho: The average recovery time of a patient taking a particular medication is one month.

In symbols,

Ho: ____________

In words,

Ha: The average recovery time of a patient taking a particular medication is not one month.

In symbols,

Ha: μ ≠ 1 month